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math.DS2023
Open questions in descriptive set theory and dynamical systems
Jérôme Buzzi, Nishant Chandgotia, Matthew Foreman +6
This file is composed of questions that emerged or were of interest during the workshop "Interactions between Descriptive Set Theory and Smooth Dynamics" that took place in Banff,…
math.DS2022★ 4 cited
Belinskaya's theorem is optimal
Alessandro Carderi, Matthieu Joseph, François Le Maître +1
Belinskaya's theorem states that given an ergodic measure-preserving transformation, any other transformation with the same orbits and an cocycle must be flip-conjug…
math.DS2021
full groups of flows
François Le Maître, Konstantin Slutsky
We introduce the concept of an full group associated with a measure-preserving action of a Polish normed group on a standard probability space. These groups carry…